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Finding the Fourth Proportional to 1,677.27, 2,516.18 and 522.75

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Solution

The fourth proportional to 1,677.27, 2,516.18 and 522.75 is: 784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.27 : 2,516.18 = 522.75 : x
  2. Step 2: Convert to fraction form
    1,677.27/2,516.18 = 522.75/x
  3. Step 3: Cross multiply
    1,677.27x = 2,516.18 × 522.75
  4. Step 4: Simplify right side
    1,677.27x = 1,315,330.48
  5. Step 5: Solve for x
    x = 1,315,330.48/1,677.27
  6. Step 6: Final answer
    x = 784.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.